Project acronym NUMERIWAVES
Project New analytical and numerical methods in wave propagation
Researcher (PI) Enrique Zuazua
Host Institution (HI) BCAM - BASQUE CENTER FOR APPLIED MATHEMATICS
Call Details Advanced Grant (AdG), PE1, ERC-2009-AdG
Summary This project is aimed at performing a systematic analysis, providing a real breakthough, of the combined effect of wave propagation and numerical discretizations, in order to help in the development of efficient numerical methods mimicking the qualitative properties of continuous waves. This is an important issue for its many applications: irrigation channels, flexible multi-structures, aeronautic optimal design, acoustic noise reduction, electromagnetism, water waves, nonlinear optics, nanomechanics, etc. The superposition of the present state of the art in Partial Differential Equations (PDE) and Numerical Analysis is insufficient to understand the spurious high frequency numerical solutions that the interaction of wave propagation and numerical discretizations generates. There are some fundamental questions, as, for instance, dispersive properties, unique continuation, control and inverse problems, which are by now well understood in the context of PDE through the celebrated Strichartz and Carleman inequalities, but which are unsolved and badly understood for numerical approximation schemes. The aim of this project is to systematically address some of these issues, developing new analytical and numerical tools, which require new significant developments, much beyond the frontiers of classical numerical analysis, to incorporate ideas and tools from Microlocal and Harmonic Analysis. The research to be developed in this project will provide new analytical tools and numerical schemes. Simultaneously, it will contribute to significant progress in some applied fields in which the issues under consideration play a key role. In parallel with the analytical and numerical analysis of these problems, a mathematical simulation platform will be set to perform computer simulations and explore and visualize some of the most relevant and complex phenomena.
Summary
This project is aimed at performing a systematic analysis, providing a real breakthough, of the combined effect of wave propagation and numerical discretizations, in order to help in the development of efficient numerical methods mimicking the qualitative properties of continuous waves. This is an important issue for its many applications: irrigation channels, flexible multi-structures, aeronautic optimal design, acoustic noise reduction, electromagnetism, water waves, nonlinear optics, nanomechanics, etc. The superposition of the present state of the art in Partial Differential Equations (PDE) and Numerical Analysis is insufficient to understand the spurious high frequency numerical solutions that the interaction of wave propagation and numerical discretizations generates. There are some fundamental questions, as, for instance, dispersive properties, unique continuation, control and inverse problems, which are by now well understood in the context of PDE through the celebrated Strichartz and Carleman inequalities, but which are unsolved and badly understood for numerical approximation schemes. The aim of this project is to systematically address some of these issues, developing new analytical and numerical tools, which require new significant developments, much beyond the frontiers of classical numerical analysis, to incorporate ideas and tools from Microlocal and Harmonic Analysis. The research to be developed in this project will provide new analytical tools and numerical schemes. Simultaneously, it will contribute to significant progress in some applied fields in which the issues under consideration play a key role. In parallel with the analytical and numerical analysis of these problems, a mathematical simulation platform will be set to perform computer simulations and explore and visualize some of the most relevant and complex phenomena.
Max ERC Funding
1 663 000 €
Duration
Start date: 2010-02-01, End date: 2016-01-31
Project acronym THE LAST SONG
Project The Last Song of the Troubadours: Linguistic Codification and Construction of a Literary Canon in the Crown of Aragon (14th and 15th centuries)
Researcher (PI) Anna Alberni Jorda
Host Institution (HI) UNIVERSITAT DE BARCELONA
Call Details Starting Grant (StG), SH5, ERC-2009-StG
Summary This project aims at the edition, study and interpretation of the troubadour poetry written in the Crown of Aragon between the 14th and 15th centuries, with special attention to its reception by a learned public of connoisseurs haunted by the myth of courtly love and its associated culture in the late medieval period. While Italy, France and the rest of the Iberian Peninsula were already moving towards Humanism, in the Crown of Aragon the prestige of the poetic universe created by the troubadours managed to make its way into the 15th century, and was adapted to new cultural fashions through a particular process of appropriation and re-codification that is unique in Europe. The purpose of this project is to enlarge and deepen our knowledge of a linguistic and literary heritage that functioned as a vertebrate agent in medieval aesthetics and poetics and well into the Modern Age. By exploring the paths of this re-codification process, working simultaneously at a linguistic, literary and historical level, we will be able to grasp new aspects of a canon that has been determinant in subsequent artistic movements, namely Spanish Renaissance poetry and the highly innovative discourse undertaken by the Catalan poet Ausiàs March, through which the long autumn of the Middle Ages is finally concluded, giving entrance to Modern poetry in the Iberian peninsula. The project will thus inquire into the question of how the aesthetic and linguistic code of the troubadours shaped the mentality of courtly society, establishing an intellectual and stylistic background in which the literary culture of Europe is deeply rooted. Part of the results of the research will be displayed in a critical digital edition, including codicological, linguistic, literary and historical data that will make the texts express themselves in order to permit a full comprehension of the corpus considered.
Summary
This project aims at the edition, study and interpretation of the troubadour poetry written in the Crown of Aragon between the 14th and 15th centuries, with special attention to its reception by a learned public of connoisseurs haunted by the myth of courtly love and its associated culture in the late medieval period. While Italy, France and the rest of the Iberian Peninsula were already moving towards Humanism, in the Crown of Aragon the prestige of the poetic universe created by the troubadours managed to make its way into the 15th century, and was adapted to new cultural fashions through a particular process of appropriation and re-codification that is unique in Europe. The purpose of this project is to enlarge and deepen our knowledge of a linguistic and literary heritage that functioned as a vertebrate agent in medieval aesthetics and poetics and well into the Modern Age. By exploring the paths of this re-codification process, working simultaneously at a linguistic, literary and historical level, we will be able to grasp new aspects of a canon that has been determinant in subsequent artistic movements, namely Spanish Renaissance poetry and the highly innovative discourse undertaken by the Catalan poet Ausiàs March, through which the long autumn of the Middle Ages is finally concluded, giving entrance to Modern poetry in the Iberian peninsula. The project will thus inquire into the question of how the aesthetic and linguistic code of the troubadours shaped the mentality of courtly society, establishing an intellectual and stylistic background in which the literary culture of Europe is deeply rooted. Part of the results of the research will be displayed in a critical digital edition, including codicological, linguistic, literary and historical data that will make the texts express themselves in order to permit a full comprehension of the corpus considered.
Max ERC Funding
436 200 €
Duration
Start date: 2009-11-01, End date: 2013-06-30
